Abstract
A specific approach to the problems of production processes balancing has been presented. The approach is based on an analysis of equilibrium phenomena. Discontinuity phenomena are interpreted from the viewpoint of the catastrophe theory. The usefulness of studying the problems of catastrophic transformations while analysing the effectiveness of the functioning of technological lines is pointed out. The methodology of balancing in unspecified conditions is presented. In order to present the methodology a computational tool, based on infinite strategic games, has been used.